Novosibirsk, Russia, May, 30 – June, 4, 2011

"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

## Soppa M.S. Беневольский С.С.## Inverse problem of electromagnetic scattering on impedance surfaces with use of physical variable## Reporter: Soppa M.S.Numerical decision of inverse problem of electromagnetic scattering on the impedance objects is considered. The form of the object presents itself a system several insulated cylindrical surfaces. Reflect characteristics of surface are described by modified boundary conditions of Leontovich type. Mathematical model comprises of itself two-dimensional Helmholtz equation. Its solution in the case of the stationary scattering problem of the monochromatic H - polarized waves has complex - valued presentation. Earlier inverse problem of recovering surface impedance function was reduced to the linear integro – operator equation, allowing efficient discretization and regularization. It includes the results of scattering field measurements in the finite number of points. Complex - valued presentation of solution expects that we know both components of scattering field, though only real part has physical sense. This report presents setting with use as additional inverse problem given the set of real part of values, having direct physical sense. At that, problem stays linear, saving advantages of getting a deciding for the finite number of steps, absence of initial approximation problem and possibility of building of solution in the broad class of surface impedance function.
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